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Simplifying -3(r + -3) = -4(2r + -1) Reorder the terms: -3(-3 + r) = -4(2r + -1) (-3 * -3 + r * -3) = -4(2r + -1) (9 + -3r) = -4(2r + -1) Reorder the terms: 9 + -3r = -4(-1 + 2r) 9 + -3r = (-1 * -4 + 2r * -4) 9 + -3r = (4 + -8r) Solving 9 + -3r = 4 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 9 + -3r + 8r = 4 + -8r + 8r Combine like terms: -3r + 8r = 5r 9 + 5r = 4 + -8r + 8r Combine like terms: -8r + 8r = 0 9 + 5r = 4 + 0 9 + 5r = 4 Add '-9' to each side of the equation. 9 + -9 + 5r = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 5r = 4 + -9 5r = 4 + -9 Combine like terms: 4 + -9 = -5 5r = -5 Divide each side by '5'. r = -1 Simplifying r = -1
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